Abstract
A numerical study of the natural convection flow in a porous cavity with wavy bottom and top walls having sinusoidal temperature distributions on vertical walls filled with a nanofluid is numerically investigated. The mathematical model has been formulated in dimensionless stream function and temperature taking into account the Darcy-Boussinesq approximation and the Buongiorno's nanofluid model. The boundary-value problem has been solved numerically on the basis of a second-order accurate finite difference method. Efforts have been focused on the effects of five types of influential factors such as the Rayleigh (Ra=10-300) and Lewis (Le=1-1000) numbers, the buoyancy-ratio parameter (Nr=0.1-0.4), the Brownian motion parameter (Nb=0.1-0.4), and the thermophoresis parameter (Nt=0.1-0.4) on the fluid flow and heat transfer characteristics. It has been found that the average Nusselt and Sherwood numbers are increasing functions of the Rayleigh number, buoyancy-ratio parameter, and thermophoresis parameter, and decreasing functions of the Lewis number and Brownian motion parameter.
| Original language | English |
|---|---|
| Article number | 072601 |
| Journal | Journal of Heat Transfer |
| Volume | 137 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 1 Jul 2015 |
Fingerprint
Keywords
- Buongiorno model
- heat transfer
- nanofluid
- numerical solution
- porous medium
- wavy wall cavity
ASJC Scopus subject areas
- Materials Science(all)
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
Cite this
Natural convection in a wavy porous cavity with sinusoidal temperature distributions on both side walls filled with a nanofluid : Buongiorno's mathematical model. / Sheremet, M. A.; Pop, I.
In: Journal of Heat Transfer, Vol. 137, No. 7, 072601, 01.07.2015.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Natural convection in a wavy porous cavity with sinusoidal temperature distributions on both side walls filled with a nanofluid
T2 - Buongiorno's mathematical model
AU - Sheremet, M. A.
AU - Pop, I.
PY - 2015/7/1
Y1 - 2015/7/1
N2 - A numerical study of the natural convection flow in a porous cavity with wavy bottom and top walls having sinusoidal temperature distributions on vertical walls filled with a nanofluid is numerically investigated. The mathematical model has been formulated in dimensionless stream function and temperature taking into account the Darcy-Boussinesq approximation and the Buongiorno's nanofluid model. The boundary-value problem has been solved numerically on the basis of a second-order accurate finite difference method. Efforts have been focused on the effects of five types of influential factors such as the Rayleigh (Ra=10-300) and Lewis (Le=1-1000) numbers, the buoyancy-ratio parameter (Nr=0.1-0.4), the Brownian motion parameter (Nb=0.1-0.4), and the thermophoresis parameter (Nt=0.1-0.4) on the fluid flow and heat transfer characteristics. It has been found that the average Nusselt and Sherwood numbers are increasing functions of the Rayleigh number, buoyancy-ratio parameter, and thermophoresis parameter, and decreasing functions of the Lewis number and Brownian motion parameter.
AB - A numerical study of the natural convection flow in a porous cavity with wavy bottom and top walls having sinusoidal temperature distributions on vertical walls filled with a nanofluid is numerically investigated. The mathematical model has been formulated in dimensionless stream function and temperature taking into account the Darcy-Boussinesq approximation and the Buongiorno's nanofluid model. The boundary-value problem has been solved numerically on the basis of a second-order accurate finite difference method. Efforts have been focused on the effects of five types of influential factors such as the Rayleigh (Ra=10-300) and Lewis (Le=1-1000) numbers, the buoyancy-ratio parameter (Nr=0.1-0.4), the Brownian motion parameter (Nb=0.1-0.4), and the thermophoresis parameter (Nt=0.1-0.4) on the fluid flow and heat transfer characteristics. It has been found that the average Nusselt and Sherwood numbers are increasing functions of the Rayleigh number, buoyancy-ratio parameter, and thermophoresis parameter, and decreasing functions of the Lewis number and Brownian motion parameter.
KW - Buongiorno model
KW - heat transfer
KW - nanofluid
KW - numerical solution
KW - porous medium
KW - wavy wall cavity
UR - http://www.scopus.com/inward/record.url?scp=84925738709&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84925738709&partnerID=8YFLogxK
U2 - 10.1115/1.4029816
DO - 10.1115/1.4029816
M3 - Article
AN - SCOPUS:84925738709
VL - 137
JO - Journal of Heat Transfer
JF - Journal of Heat Transfer
SN - 0022-1481
IS - 7
M1 - 072601
ER -